Semi discretized heat equation approximated by linear finite element method
Makaleler > Tam Makale · 2003
Yazarlar: Kemal ALTIPARMAK
International Journal of Pure and Applied Mathematics, Diğer Kurumların Hakemli Dergileri, Uluslararası, 2003, cilt 4, ss 371-378
Özet
<p>One dimensional heat equation with initial and boundary conditions is chosen for consideration. Firstly, replacing the time derivative by first order forward-difference approximation, the partial differential equation is reduced to second order ordinary differential equation at time levels. Secondly, a numerical solution of the ordinary differential equation is investigated by linear finite element method in local coordinate system. Finally, numerical results are obtained on the one dimensional heat equation.</p>